Mann iteration for generalized pseudocontractive maps in Hilbert spaces [PDF]
, 2001 If X is a real Hilbert space, B is a nonempty, bounded, convex and closed subset, T:B→ B is a generalized pseudocontraction; then the iteration begin{eqnarray} x_{1} &in &B, \ x_{n+1} &=&(1-alpha _{n})x_{n}+alpha _{n}Tx_{n}, nonumber \ (alpha _{n})_{n} &
Ş. M. Şoltuz
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Convergence of Ishikawa iterative sequence for strongly pseudocontractive operators in arbitrary Banach spaces [PDF]
, 2010 Under the condition of removing the restriction any bounded, we give the convergence of the Ishikawa iteration process to a unique fixed point of a strongly pseudocontractive operator in arbitrary real Banach space.
Shuyi Zhang
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Quantum dynamical semigroups for diffusion models with Hartree interaction
, 2004 We consider a class of evolution equations in Lindblad form, which model the dynamics of dissipative quantum mechanical systems with mean-field interaction. Particularly, this class includes the so-called Quantum Fokker-Planck-Poisson model.
A. Arnold +31 more
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Ishikawa iterative process for strongly pseudocontractive operators in arbitrary Banach spaces [PDF]
, 2003 In this note we give a correction to the main result of Zhou in [14] on the convergence of the Ishikawa iteration process to a unique fixed point of a strongly pseudocontractive operator in arbitrary real Banach spaces.
J. S. Ume, Lj. Ćirić
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A variational approach to dissipative SPDEs with singular drift [PDF]
, 2017 We prove global well-posedness for a class of dissipative semilinear stochastic evolution equations with singular drift and multiplicative Wiener noise. In particular, the nonlinear term in the drift is the superposition operator associated to a maximal ...
Marinelli, Carlo, Scarpa, Luca
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A Random Evolution Inclusion of Subdifferential Type in Hilbert Spaces [PDF]
, 1996 In this paper we study a nonlinear evolution inclusion of subdifferential type in Hilbert spaces. The perturbation term is Hausdorff continuous in the state variable and has closed but not necessarily convex values.
Kravvaritis, D., Pantelidis, G.
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On the Ishikawa iterative approximation with mixed errors for solutions to variational inclusions with accretive type mappings in Banach spaces [PDF]
, 2003 Using the new analysis techniques, the existence and iterative approximation problem of a solution for a class of nonlinear variational inclusions with accretive type mappings are discussed in arbitrary Banach spaces.
G. Feng
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Stability of Mann and Ishikawa iterative processes with errors for a class of nonlinear variational inclusions [PDF]
, 2004 Under the lack of the condition , some new convergence and stability theorems of Mann and Ishikawa iterative processes with errors for solutions to variational inclusions involving accretive mappings in real reflexive Banach spaces are established.
F. Gu, J. Lu
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Continuous selections of solution sets to Volterra integral inclusions in Banach spaces [PDF]
, 2006 We consider a nonlinear Volterra integral equation governed by an m-accretive operator and a multivalued perturbation in a separable Banach. The existence of a continuous selection for the corresponding solution map is proved.
Aizicovici, S., Staicu, Vasile
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Regularity of set-valued maps and their selections through set differences. Part 2: One-sided Lipschitz properties [PDF]
, 2013 We introduce one-sided Lipschitz (OSL) conditions of setvalued maps with respect to given set differences. The existence of selections of such maps that pass through any point of their graphs and inherit uniformly their OSL constants is studied.
Baier, Robert, Farkhi, Elza
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